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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 409, page id 851708439:0433
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finica
pine
Cap. XCTI.
A L G F B R. A.
Magnicudo eric plusguam sinica. Nam proporcio composica =   -
Majoritatis.
Cst
30. Si altera (puca alcicudinis) sie minoricaris racio, ue + ad a; alcera (puta
balis) Majoricaris, ut B ad L: Magnicudo plani erit Pinita, aut Infinita, auE
plusquam infinica; prouc b minor est, aut aequalio, auc majoi quam a. Ouia,
pro illa rarieralen composica ratio = X; =  ia erit rel minoricacis, rel aequalica
tiS, vel majoritatis.
31. Similicer; Si solidum supponatur ex Pacallelepipedis constari; quorum
a BB ec. Lacicudines, = B,  B,  BC. CaL.
V
Ciries, = Cg =C  Cn dec. Si proporciones illa, F ad an _ ad B, et ad c,
Cine rationes minoricaris omnes, aue omnes equalicaris, auc majoricaris omnes;
auc parrim iltius, parcim illius, parcim hujus in quacunque rarietate: Magni-
cudo Solidi =- ABC, erit rel finica, vel intinica, vel plusquam intinita,
abc-
prout compolita ratio F ad abc, est vel minoritaris, vel aequalitatis, vel majo-
ritatis ratio; adeoque abc = T, major quam o, aut =0, aut minoe quam 0..
32. Acque hinc tieri porest; uc magvicudo Solidi - = ABC, tinica hit;
ab0
quamris rel Lonsicuinis, vet Focicudinis, vel Crasticiei, vel ex duabus compo-
Cica, (Dutam A, aut, = - B, aut -  C aut   AB,) Se vel inF-
nica, vel plusquam Intinica: Nimirum, s reliqua, vel compotia ex reliquis, prae.
valeat. EF Contra; quamris harum una aut duae sinc finita, Dotelt Solidi magni.
cudo esse rel intinita vel plusquam intinita.
Idemgue incelligendum est, de aliis rationibus compotieis, in ejusmodi aliis pro.
Grectionibus.
33. Si in Parallelexipedis (ex quibus constari supponitur Solidum) Longi-
cudines sic sumaneur; = A; acque cum = residui; indeque = secundiretidui; et sie
Temper: Hoc CAt (DOEILO a = Z = e,) = A, = A,
EB, et  relidtui, e Re Temper : hoc eA (potico b - + = f,) 7 B,
6bE0b
c Ft ccabities similicer, =C; et  residui; et sie semper: hoc est, (potico
C - + = 83) = Cy cb
a a bbCC
C6
 4BC, dc. dolidum seu Agprexutum ex Mis, cric
ABC. FS enim, uE L ad ese, Gc illud ad e1 8
abc = et
3f3
2b0
at
FF8S ABC.
ABCn aabbcc
2d B3 ∞ 2BC, e= et5) abc, = L abc ef.
aBC
34. Si in Parallelexipedis illis, sumantur longitudines = ; hujusque E; trujus.
que ierum L; et sic Temper: Hoc ett,  M a  A c. Laticudines vero,
a a
B, et  reliduis et = secinei residuis, et Se temper: hoc CA, 7 B, G B,  B. c.
F